Search Results - "Dyshaev, M. M."
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The Optimal Rehedging Interval for the Options Portfolio within the RAPM, Taking into Account Transaction Costs and Liquidity Costs
Published in Izvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online) (01-01-2020)“…Using the approach of L.C.G. Rogers and S. Singh, we added liquidity costs accounting to the model with risk adjusted pricing methodology (RAPM), generalized…”
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Group classification for a class of non-linear models of the RAPM type
Published in Communications in nonlinear science & numerical simulation (01-01-2021)“…•Equivalence transformations are found for a class of Black–Scholes models.•The group classification for a class of nonlinear Black–Scholes models is…”
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GROUP CLASSIFICATION FOR A GENERAL NONLINEAR MODEL OF OPTIONS PRICING
Published in Ural mathematical journal (01-11-2016)“…We consider a family of equations with two free functional parameters containing the classical Black–Scholes model, Schönbucher–Wilmott model,…”
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Invariant solutions for nonlinear models of illiquid markets
Published in Mathematical methods in the applied sciences (01-12-2018)“…A general nonlinear model of illiquid markets with feedback effects is considered. This equation with 2 free functional parameters contains as partial cases…”
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